Hallar a + b + c + d si : aa + bb + cc = abc?
Hallar a + b + c + d si : aa + bb + cc = abc.
Mejor respuesta
9
Descomponiendo y undato que a , b y c son menores que 10 : = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = aa + bb + cc = abc
10a + a + 10b + b + 10c + c = 100a + 10b + 10c 11a + 11b + 11c = 100a + 10b + c 11b - 10b + 11c - c = 100a - 11a b + 10c = 89a ←Probando valores : 9 + 10(8) = 89(1) ←Los valores son :
→b = 9, c = 8 , a = 1
Respuesta : = = = = = = = = = = =
a + b + c = 1 + 9 + 8 = 18.
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